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Finding the Fourth Proportional to 489,165.40, 733,748.10 and 265,216.60

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Solution

The fourth proportional to 489,165.40, 733,748.10 and 265,216.60 is: 397,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,165.40 : 733,748.10 = 265,216.60 : x
  2. Step 2: Convert to fraction form
    489,165.40/733,748.10 = 265,216.60/x
  3. Step 3: Cross multiply
    489,165.40x = 733,748.10 × 265,216.60
  4. Step 4: Simplify right side
    489,165.40x = 194,602,176,338.46
  5. Step 5: Solve for x
    x = 194,602,176,338.46/489,165.40
  6. Step 6: Final answer
    x = 397,824.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.